Search a number
-
+
1040134121 = 13372162441
BaseRepresentation
bin111101111111110…
…010111111101001
32200111012021202222
4331333302333221
54112233242441
6251113403425
734526664665
oct7577627751
92614167688
101040134121
11494146184
12250409575
1313764caa0
149c1d78a5
15614acd4b
hex3dff2fe9

1040134121 has 8 divisors (see below), whose sum is σ = 1150419144. Its totient is φ = 934174080.

The previous prime is 1040134099. The next prime is 1040134127. The reversal of 1040134121 is 1214310401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51912025 + 988222096 = 7205^2 + 31436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1040134121 - 210 = 1040133097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1040134121.

It is not an unprimeable number, because it can be changed into a prime (1040134127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080740 + ... + 1081701.

It is an arithmetic number, because the mean of its divisors is an integer number (143802393).

Almost surely, 21040134121 is an apocalyptic number.

It is an amenable number.

1040134121 is a deficient number, since it is larger than the sum of its proper divisors (110285023).

1040134121 is a wasteful number, since it uses less digits than its factorization.

1040134121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162491.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1040134121 is about 32251.1103839852. The cubic root of 1040134121 is about 1013.2029551379.

Adding to 1040134121 its reverse (1214310401), we get a palindrome (2254444522).

The spelling of 1040134121 in words is "one billion, forty million, one hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 13 37 481 2162441 28111733 80010317 1040134121